Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

lets take first digit as 5.. so remaining 4 digit can be arrange in this pattern

pattern1: 5 0 4 2 1 ...sum =12 /3 ..okay..so total possible combination 1*4!= 24

pattern1: 5 4 3 2 1 ...sum =15 /3 ..okay..so total possible combination 1*4!= 24

so for if first digit is 5 we have 48 numbers

lets take first digit as 4.. so remaining 4 digit can be arrange in this pattern

pattern1: 4 0 5 2 1 ...sum =12 /3 ..okay..so total possible combination 1*4!= 24

pattern1: 4 5 3 2 1 ...sum =15 /3 ..okay..so total possible combination 1*4!= 24

so for if first digit is 4 we have 48 numbers

same goes on for all the number and you willend up with 48*5 =240..which is not in answer

so bestnear by answer is 216 * i will follow this proc.when i have very less time say 90sec. in exam and i have to mark some answer so i will go for E. i knowi madesomesmallmistake somewhere..please rectify it

How many five-digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 3, without repeating the digits?

* 15 * 96 * 120 * 181 * 216

Can someone explain solution approach for this question.

5 digit integers made of "1, 2, 3, 4, and 5" & "0, 1, 2, 4, and 5" are divisible by 3. so the no. of possibilities are = 5! + 4x4! = 120 + 96 = 216 _________________

Only when we are using the set of numbers 0,1,2,4 & 5 or 1,2,3,4 & 5 should the 5 digit number be divisible by 3

with the first set if we remove the 5 digits set that will start with 0 that is 24 from 5! for the whole probability then the difference will be 5! - 4! = 120 - 24 = 96

then we add the number of probabilities for the second set

We have 5 ways to fill up the first place:5 5 ways to fill up the second :5 4 ways to fill up the thrid:4 3 ways to fill up the fourth:3 and 2 ways to fill up the fifth. Multiplying, I get 600. What is wrong with this approach?

x-ALI-x wrote:

GMAT TIGER wrote:

lalmanistl wrote:

How many five-digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 3, without repeating the digits?

* 15 * 96 * 120 * 181 * 216

Can someone explain solution approach for this question.

5 digit integers made of "1, 2, 3, 4, and 5" & "0, 1, 2, 4, and 5" are divisible by 3. so the no. of possibilities are = 5! + 4x4! = 120 + 96 = 216

Can someone tell me why we multiply 5*4*3*2*1? and why we multiply 4*3*2*1? is there a rule for using factorial in creating number combinations?

Hello everyone! Researching, networking, and understanding the “feel” for a school are all part of the essential journey to a top MBA. Wouldn’t it be great... ...

Are you interested in applying to business school? If you are seeking advice about the admissions process, such as how to select your targeted schools, then send your questions...